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Finding the Fourth Proportional to 405.88, 559.62 and 327.28

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Solution

The fourth proportional to 405.88, 559.62 and 327.28 is: 451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 559.62 = 327.28 : x
  2. Step 2: Convert to fraction form
    405.88/559.62 = 327.28/x
  3. Step 3: Cross multiply
    405.88x = 559.62 × 327.28
  4. Step 4: Simplify right side
    405.88x = 183,152.43
  5. Step 5: Solve for x
    x = 183,152.43/405.88
  6. Step 6: Final answer
    x = 451.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.